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Finding the Third Proportional to 172,305 and 264,780

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Solution

The third proportional to 172,305 and 264,780 is: 406,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,305 : 264,780 = 264,780 : x
  2. Step 2: Convert to fraction form
    172,305/264,780 = 264,780/x
  3. Step 3: Cross multiply
    172,305x = 264,780 × 264,780
  4. Step 4: Simplify right side
    172,305x = 70,108,448,400
  5. Step 5: Solve for x
    x = 70,108,448,400/172,305
  6. Step 6: Final answer
    x = 406,885.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.